1. The problem states that the answer is \(\frac{25}{512}\).\n2. This fraction is already in simplest form because 25 and 512 have no common factors other than 1.\n3. 25 is \(5^2\) and 512 is \(2^9\), so the fraction is \(\frac{5^2}{2^9}\).\n4. Since the numerator and denominator are powers of different primes, the fraction cannot be simplified further.\n5. Therefore, the final answer is \(\frac{25}{512}\).